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1041240144 = 243726311783
BaseRepresentation
bin111110000100000…
…001000001010000
32200120021110221210
4332010001001100
54113024141034
6251153220120
734542252360
oct7604010120
92616243853
101041240144
1149483114a
12250861640
13137949339
149c4049a0
156162a8e9
hex3e101050

1041240144 has 80 divisors (see below), whose sum is σ = 3086088192. Its totient is φ = 296340864.

The previous prime is 1041240143. The next prime is 1041240149. The reversal of 1041240144 is 4410421401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1041240144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041240143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82477 + ... + 94259.

Almost surely, 21041240144 is an apocalyptic number.

1041240144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543044096).

1041240144 is an abundant number, since it is smaller than the sum of its proper divisors (2044848048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041240144 is a wasteful number, since it uses less digits than its factorization.

1041240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1041240144 is about 32268.2528811214. The cubic root of 1041240144 is about 1013.5619565332.

Adding to 1041240144 its reverse (4410421401), we get a palindrome (5451661545).

The spelling of 1041240144 in words is "one billion, forty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 336 526 789 1052 1578 1841 2104 3156 3682 4208 5523 6312 7364 11046 11783 12624 14728 22092 23566 29456 35349 44184 47132 70698 82481 88368 94264 141396 164962 188528 247443 282792 329924 494886 565584 659848 989772 1319696 1979544 3098929 3959088 6197858 9296787 12395716 18593574 21692503 24791432 37187148 43385006 49582864 65077509 74374296 86770012 130155018 148748592 173540024 260310036 347080048 520620072 1041240144